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Finding the Fourth Proportional to 410.27, 566.19 and 293.63

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Solution

The fourth proportional to 410.27, 566.19 and 293.63 is: 405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.27 : 566.19 = 293.63 : x
  2. Step 2: Convert to fraction form
    410.27/566.19 = 293.63/x
  3. Step 3: Cross multiply
    410.27x = 566.19 × 293.63
  4. Step 4: Simplify right side
    410.27x = 166,247.54
  5. Step 5: Solve for x
    x = 166,247.54/410.27
  6. Step 6: Final answer
    x = 405.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.